This official government letter, on official government letterhead, explained to us that they had primary authority over the education of our[sic] children. ~ A Self-Educated Chicken by Debbie Harbeson

Over "their children", Debbie, over "their children". When one voluntarily, albeit and notwithstanding ignorantly, turns himself (or herself) into chattel (cattle) property, EVERYTHING that he (or she) acquires/produces, he (or she) acquires/produces for his (or her) master, and that includes the children that are produced.

SUBJECTION, n. ...2. The state of being under the power, control and government of another... ~ Webster's 1828 American Dictionary of the English Language

It's exactly like a cow that has his master's chattel number in her ear, the master will feed it, water it, medicate it, immunize it, confine it, and certain other things, as the master sees fit, and when she produces a calf, it doesn't belong to her, or the bull that sired it, it belongs to her master, and that master will "educate" it as he sees fit.